Henry Ernest Dudeney/Modern Puzzles/121 - Paper Folding

Modern Puzzles by Henry Ernest Dudeney: $121$

Paper Folding

This is a branch of puzzledom both instructive and interesting.

I do not refer to folding paper into the forms of boxes, boats, frogs, and such things,

for these are toys rather than puzzles,

but to the solving of certain geometric problems with paper and fingers alone.

I will give a comparatively easy example.

Suppose you are given a perfectly square piece of paper,

how are you going to fold it so as to indicate by creases a regular hexagon,

as shown in the illustration, all ready to be cut out?

Of course, you must use no pencil, measure, or instrument of any kind whatever.

The hexagon may be in any position in the square.

1926: Henry Ernest Dudeney: Modern Puzzles ... (previous) ... (next): Geometrical Problems: Paper-Folding Puzzles: $121$. -- Paper Folding
1968: Henry Ernest Dudeney: 536 Puzzles & Curious Problems ... (previous) ... (next): Geometrical Problems: Paper Folding Puzzles: $361$. Folding a Hexagon